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The use of lattice tensor representations is explored to investigate the lattice Landau gauge gluon propagator for the pure SU(3) Yang-Mills gauge theory in 4D. The analysis of several tensor bases allows to quantify the completeness of the…

高能物理 - 格点 · 物理学 2021-04-14 Guilherme T. R. Catumba , Orlando Oliveira , Paulo J. Silva

We apply an improved renormalization group analysis for pure Yang-Mills theory at one loop order and obtained the result that a non-perturbatively generated pole mass of gluon emerges as $M_P^2/\Lambda^2 \simeq 0.66$, where $\Lambda$ is the…

高能物理 - 理论 · 物理学 2008-11-26 Shoichi Kawamoto , Toshihiro Matsuo

We show that the confining property of the one-gluon propagator, in Coulomb gauge, is linked to the unbroken realization of a remnant gauge symmetry which exists in this gauge. An order parameter for the remnant gauge symmetry is…

高能物理 - 格点 · 物理学 2008-11-26 Jeff Greensite , Stefan Olejnik , Daniel Zwanziger

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed…

高能物理 - 理论 · 物理学 2013-12-12 M. M. Amaral , M. A. L. Capri , Y. E. Chifarelli , V. E. R. Lemes

We study numerically magnetic $G_M(p)$ and electric $G_E(p)$ gluon propagators and their dependence on the choice of the lattice gauge field $\caa_{x\mu}$ in SU(2) gauge theory, especially, in the low--momentum limit. We find that two…

高能物理 - 格点 · 物理学 2007-05-23 I. L. Bogolubsky , V. K. Mitrjushkin

We extend the covariant variational approach for SU(N) Yang-Mills theory in Landau gauge to non-zero temperatures. The renormalization of the zero-temperature case is revisited and it is shown that the same counterterms are sufficient to…

高能物理 - 理论 · 物理学 2015-08-05 Markus Quandt , Hugo Reinhardt

We calculate the Coulomb ghost propagator G(|p|) and the static Coulomb potential V_C(|r|) for SU(2) Yang-Mills theory on the lattice. In view of possible scaling violations related to deviations from the Hamiltonian limit we use…

高能物理 - 格点 · 物理学 2015-06-05 G. Burgio , M. Quandt , H. Reinhardt

We present a strong coupling expansion that permits to develop analysis of quantum field theory in the infrared limit. Application to a quartic massless scalar field gives a massive spectrum and the propagator in this regime. We extend the…

高能物理 - 唯象学 · 物理学 2009-03-17 Marco Frasca

The gluon propagator in the Landau gauge lattice QCD simulation of quenched 8^3 x 16 lattice is measured. The data suggests the confinement mechanism of the Gribov-Zwanziger theory.

高能物理 - 格点 · 物理学 2009-10-31 Hideo Nakajima , Sadataka Furui

The Landau-gauge gluon propagator is computed for the SU(3) gauge theory on lattices up to a size of $32^3 \times 200$. We use the standard Wilson action at $\beta = 6.0$ and compare our results with previous computations using large…

高能物理 - 格点 · 物理学 2008-11-26 O. Oliveira , P. J. Silva , E. -M. Ilgenfritz , A. Sternbeck

We investigate Landau gauge $SU(3)$ Yang-Mills theory in a systematic vertex expansion scheme for the effective action with the functional renormalisation group. Particular focus is put on the dynamical creation of the gluon mass gap at…

高能物理 - 唯象学 · 物理学 2016-09-12 Anton K. Cyrol , Leonard Fister , Mario Mitter , Jan M. Pawlowski , Nils Strodthoff

I briefly review results obtained within the variational Hamiltonian approach to Yang-Mills theory in Coulomb gauge and confront them with recent lattice data. The variational approach is extended to non-Gaussian wave functionals including…

高能物理 - 理论 · 物理学 2015-05-27 H. Reinhardt , D. R. Campagnari , M. Leder , G. Burgio , J. M. Pawlowski , M. Quandt , A. Weber

We present data for the gluon and quark propagators computed in the standard lattice Landau's gauge and for three values of the covariant gauge-fixing parameter lambda=0,8,16. Our results are obtained using the SU(3) Wilson action in the…

高能物理 - 格点 · 物理学 2015-06-25 L. Giusti , M. L. Paciello , S. Petrarca , B. Taglienti , N. Tantalo

We present recent results of the Landau gauge gluon and ghost propagators in SU(3) pure gauge theory at Wilson \beta=5.7 for lattice sizes up to 80^4 corresponding to physical volumes up to (13.2 fm)^4. In particular, we focus on…

高能物理 - 格点 · 物理学 2009-04-14 I. L. Bogolubsky , E. -M. Ilgenfritz , M. Müller-Preussker , A. Sternbeck

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a…

高能物理 - 格点 · 物理学 2015-06-25 Attilio Cucchieri , Tereza Mendes , Daniel Zwanziger

We discuss critical slowing-down of several gauge-fixing algorithms for the so-called lambda-gauges in the SU(2) case at zero temperature. For these gauges we also evaluate the gluon propagator using different definitions of the lattice…

高能物理 - 格点 · 物理学 2007-05-23 Attilio Cucchieri , Tereza Mendes

We evaluate numerically the three-momentum-space gluon propagator in the lattice Landau gauge, for three-dimensional pure-SU(2) lattice gauge theory with periodic boundary conditions. Simulations are done for nine different values of the…

高能物理 - 格点 · 物理学 2009-10-31 Attilio Cucchieri

We study renormalization of Coulomb-gauge QCD within the Lagrangian second-order formalism. We derive a Ward identity and the Zinn-Justin equation, and, with the help of the latter, we give a proof of algebraic renormalizability of the…

高能物理 - 理论 · 物理学 2008-11-26 A. Niegawa

A comparative study of the lattice Landau gauge gluon and ghost propagators for SU(2) and SU(3) pure Yang-Mills theories is carried out. The data were specially produced with equivalent lattice parameters to allow for a careful comparison…

高能物理 - 格点 · 物理学 2008-11-26 A. Cucchieri , T. Mendes , O. Oliveira , P. J. Silva

The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU(2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger…

高能物理 - 格点 · 物理学 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes